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Finding the Third Proportional to 37,412,806 and 80,395,076

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Solution

The third proportional to 37,412,806 and 80,395,076 is: 172,758,179.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,412,806 : 80,395,076 = 80,395,076 : x
  2. Step 2: Convert to fraction form
    37,412,806/80,395,076 = 80,395,076/x
  3. Step 3: Cross multiply
    37,412,806x = 80,395,076 × 80,395,076
  4. Step 4: Simplify right side
    37,412,806x = 6,463,368,245,045,776
  5. Step 5: Solve for x
    x = 6,463,368,245,045,776/37,412,806
  6. Step 6: Final answer
    x = 172,758,179.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.